Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 2 - Section 2.6 - Scientific Notation - Exercises - Page 127: 75


$$7.46\times 10^{5}.$$

Work Step by Step

We multiply and divide the numbers as follows: $$\frac{84,000 \times 0.0004 \times 142,000}{0.002 \times 3200}\\ =\frac{(8.4\times 10^{4})(4\times 10^{-4})(1.42\times 10^{5})}{(2\times 10^{-3})(3.2\times 10^{3})} \\=\frac{4.771\times 10^{6}}{6.4\times 10^{0}} =7.46\times 10^{5}.$$
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